The table below represents an exponential function. what is the missing value?
1 answer:
Answer:
The missing value is 128
Step-by-step explanation:
we know that
The equation of the exponential function is of the form
where
a is the initial value (value of the function when the value of x is equal to zero)
b is the base
r is the rate
b=(1+r)
In this problem , looking at the table, we have that the number of bacteria is doubled every second
so
substitute in the formula
where
f(x) is the number of bacteria
x is the time in seconds
For x=4 sec
substitute
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Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.
Step-by-step explanation:
The given is,
Investment = $ 8000
No. of years = 15 years
Interest rate, i = 3.1 %
( compounded monthly )
Step:1
For for calculating future value with compound interest monthly,
.................(1)
Where,
A = Future amount
P = Initial investment
r = Rate of interest
n = Number of compounding in a year
t = Time period
Step:2
From given values,
P = $8000
r = 3.1%
t = 15 years
n = 12 ( for monthly)
Equation (1) becomes,
A = $ 12728.48
Result:
Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.